25 citations · 69 across the 37 of their papers we have counts for
8 papers · 1 filter
Non-divergence operators structured on homogeneous Hörmander vector fields: heat kernels and global Gaussian bounds
Stefano Biagi, Marco Bramanti
Let be a family of real smooth vector fields defined in , -homogeneous with respect to a nonisotropic family of dilations and satisfying Hörman…
Symmetry and monotonicity of singular solutions of double phase problems
Stefano Biagi, Francesco Esposito, Eugenio Vecchi
We consider positive singular solutions of PDEs arising from double phase functionals. Exploiting a rather new version of the moving plane method originally developed by Sciunzi, w…
Nonzero positive solutions of fractional Laplacian systems with functional terms
Stefano Biagi, Alessandro Calamai, Gennaro Infante
We study the existence of non-zero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the not…
Pohozaev-type identities for differential operators driven by homogeneous vector fields
Stefano Biagi, Andrea Pinamonti, Eugenio Vecchi
We prove Pohozaev-type identities for smooth solutions of Euler-Lagrange equations of second and fourth order that arise from functional depending on homogeneous Hörmander vector f…
Semilinear elliptic equations involving mixed local and nonlocal operators
Stefano Biagi, Serena Dipierro, Enrico Valdinoci +1
In this paper, we consider an elliptic operator obtained as the superposition of a classical second-order differential operator and a nonlocal operator of fractional type. Though t…
Mixed local and nonlocal elliptic operators: regularity and maximum principles
Stefano Biagi, Serena Dipierro, Enrico Valdinoci +1
We start in this paper a systematic study of the superpositions of elliptic operators with different orders, mixing classical and fractional scenarios. For concreteness, we focus o…
Global Gaussian estimates for the heat kernel of homogeneous sums of squares
Stefano Biagi, Marco Bramanti
Let be a heat-type operator in , where is a system of smooth Hörmander's vector fiel…
Boundary value problems associated with singular strongly nonlinear equations with functional terms
Stefano Biagi, Alessandro Calamai, Cristina Marcelli +1
We study boundary value problems associated with singular, strongly nonlinear differential equations with functional terms of type $$\big(Φ(k(t)\,x'(t))\big)' + f(t,\mathcal{G}_x(t…